SOLUTION: how do you solve this -3(2x-1)=x+10

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Question 635256: how do you solve this -3(2x-1)=x+10
Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-1.
  • Graphical form: Equation -3%2A%282x-1%29=x%2B10 was fully solved.
  • Text form: -3*(2x-1)=x+10 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-3%2A%282x-1%29=x%2B10+%29
    For tutors: simplify_cartoon( -3*(2x-1)=x+10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at -3%2A%282%2Ax-1%29=highlight_red%28+x%2B10+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-10+%29
It becomes -3%2A%282%2Ax-1%29-highlight_green%28+x+%29-highlight_green%28+10+%29=0.
Look at -highlight_red%28+3%2A%282%2Ax-1%29+%29-x-10=0.
Expanded term -3 by using associative property on %282%2Ax-1%29
It becomes -highlight_green%28+3%2A2%2Ax+%29%2Bhighlight_green%28+3%2A1+%29-x-10=0.
Look at -highlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Ax%2B3%2A1-x-10=0.
Multiplied numerator integers
It becomes -highlight_green%28+6+%29%2Ax%2B3%2A1-x-10=0.
Look at -6%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+1+%29-x-10=0.
Multiplied numerator integers
It becomes -6%2Ax%2Bhighlight_green%28+3+%29-x-10=0.
Look at -6%2Ax%2Bhighlight_red%28+3+%29-x-highlight_red%28+10+%29=0.
Added fractions or integers together
It becomes -6%2Ax%2Bhighlight_green%28+-7+%29-x=0.
Look at -6%2Ax%2Bhighlight_red%28+-7+%29-x=0.
Moved -7 to the right of expression
It becomes -6%2Ax-x%2Bhighlight_green%28+-7+%29=0.
Look at -6%2Ax-x%2Bhighlight_red%28+-7+%29=0.
Removed extra sign in front of -7
It becomes -6%2Ax-x-highlight_green%28+7+%29=0.
Look at -highlight_red%28+6%2Ax+%29-highlight_red%28+x+%29-7=0.
Eliminated similar terms highlight_red%28+-6%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%28-6-1%29%2Ax+%29
It becomes highlight_green%28+%28-6-1%29%2Ax+%29-7=0.
Look at %28-highlight_red%28+6+%29-highlight_red%28+1+%29%29%2Ax-7=0.
Added fractions or integers together
It becomes %28highlight_green%28+-7+%29%29%2Ax-7=0.
Look at %28highlight_red%28+-7+%29%29%2Ax-7=0.
Removed extra sign in front of -7
It becomes %28-highlight_green%28+7+%29%29%2Ax-7=0.
Look at highlight_red%28+%28-highlight_red%28+7+%29%29%2Ax+%29-7=0.
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes -highlight_green%28+7+%29%2Ax-7=0.
Look at highlight_red%28+-7%2Ax-7+%29=0.
Solved linear equation highlight_red%28+-7%2Ax-7=0+%29 equivalent to -7*x-7 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-1.

Universal Simplifier and Solver


Done!